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Finding the Fourth Proportional to 6,395.04, 8,824.14 and 3,600

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Solution

The fourth proportional to 6,395.04, 8,824.14 and 3,600 is: 4,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.04 : 8,824.14 = 3,600 : x
  2. Step 2: Convert to fraction form
    6,395.04/8,824.14 = 3,600/x
  3. Step 3: Cross multiply
    6,395.04x = 8,824.14 × 3,600
  4. Step 4: Simplify right side
    6,395.04x = 31,766,904.00
  5. Step 5: Solve for x
    x = 31,766,904.00/6,395.04
  6. Step 6: Final answer
    x = 4,967.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.